Numerators of rational valued sequence whose Dirichlet convolution with itself yields A003961.

Terms

a(0) =1a(1) =3a(2) =5a(3) =27a(4) =7a(5) =15a(6) =11a(7) =135a(8) =75a(9) =21a(10) =13a(11) =135a(12) =17a(13) =33a(14) =35a(15) =2835a(16) =19a(17) =225a(18) =23a(19) =189a(20) =55a(21) =39a(22) =29a(23) =675a(24) =147a(25) =51a(26) =625a(27) =297a(28) =31a(29) =105